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Finding the Fourth Proportional to 31,982.40, 47,932.80 and 17,942.40

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Solution

The fourth proportional to 31,982.40, 47,932.80 and 17,942.40 is: 26,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.40 : 47,932.80 = 17,942.40 : x
  2. Step 2: Convert to fraction form
    31,982.40/47,932.80 = 17,942.40/x
  3. Step 3: Cross multiply
    31,982.40x = 47,932.80 × 17,942.40
  4. Step 4: Simplify right side
    31,982.40x = 860,029,470.72
  5. Step 5: Solve for x
    x = 860,029,470.72/31,982.40
  6. Step 6: Final answer
    x = 26,890.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.